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Finding the Fourth Proportional to 18,544.49, 27,820.37 and 6,857.81

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Solution

The fourth proportional to 18,544.49, 27,820.37 and 6,857.81 is: 10,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,544.49 : 27,820.37 = 6,857.81 : x
  2. Step 2: Convert to fraction form
    18,544.49/27,820.37 = 6,857.81/x
  3. Step 3: Cross multiply
    18,544.49x = 27,820.37 × 6,857.81
  4. Step 4: Simplify right side
    18,544.49x = 190,786,689.63
  5. Step 5: Solve for x
    x = 190,786,689.63/18,544.49
  6. Step 6: Final answer
    x = 10,288.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.